Limit Calculator
Evaluate limits, one-sided limits and limits at infinity, with substitution, factoring, conjugates or L’Hôpital’s rule shown. Try “limit of sin(3x)/x as x → 0”.
Try an example:
What you can do with the Limit Calculator
Evaluate limits, one-sided limits and limits at infinity.
Enter your values or describe the problem in the calculator above. Review the result and the explanation before using it in homework, study or practical calculations.
Example input
e.g. limit of (sin 3x)/x as x → 0
How the Limit Calculator works
- Try direct substitution first.
- If you get 0/0 or ∞/∞, factor, rationalize, use a known limit or apply L’Hôpital’s rule.
- State the limit, or say it does not exist if left and right limits differ.
Frequently asked questions
What does 0/0 mean in a limit?
It is an indeterminate form: the limit may still exist, so you must simplify or use L’Hôpital’s rule.
When does a limit not exist?
When the left and right limits differ, the function grows without bound, or it oscillates.
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Math Solver can make mistakes. Please double-check important steps and calculations.